13608864 has 96 divisors (see below), whose sum is σ = 41832000. Its totient is φ = 4292352.

The previous prime is 13608853. The next prime is 13608911. The reversal of 13608864 is 46880631.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16002 + ... + 16830.

It is an arithmetic number, because the mean of its divisors is an integer number (435750).

Almost surely, 2^13608864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13608864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20916000).

13608864 is an abundant number, since it is smaller than the sum of its proper divisors (28223136).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13608864 is a wasteful number, since it uses less digits than its factorization.

13608864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867 (or 853 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 13608864 is about 3689.0193818954. The cubic root of 13608864 is about 238.7484851379.

The spelling of 13608864 in words is "thirteen million, six hundred eight thousand, eight hundred sixty-four".